Cycle Analysis for Deterministic Finite State Automata
نویسنده
چکیده
A method for the determination of all cycles of deterministic finite state automata is presented. Using a finite field description GF(2) these automata are shown to correspond to multilinear state equations. Basic results from feedback shift register theory are recalled and developed towards a complete analysis tool for affine-linear automata. The multilinear case is reduced to the affine-linear case by application of a linearizing constant state feedback and a linear state space embedding. Some brief examples illustrate the basic ideas. Copyright c 2002 IFAC.
منابع مشابه
Reduction of BL-general L-fuzzy Automata
In this paper, we show that for any BL-general L-fuzzy automaton (BL-GLFA) there exists a complete deterministic accessible reduced BL-general L-fuzzy automaton that recognizing the behavior of the BL-GLFA. Also, we prove that for any finite realization β, there exists a minimal complete deterministic BL-GLFA recognizing β. We prove any complete deterministic accessible reduced BL-GLFA is a min...
متن کاملReduction of Computational Complexity in Finite State Automata Explosion of Networked System Diagnosis (RESEARCH NOTE)
This research puts forward rough finite state automata which have been represented by two variants of BDD called ROBDD and ZBDD. The proposed structures have been used in networked system diagnosis and can overcome cominatorial explosion. In implementation the CUDD - Colorado University Decision Diagrams package is used. A mathematical proof for claimed complexity are provided which shows ZBDD ...
متن کاملDISTINGUISHABILITY AND COMPLETENESS OF CRISP DETERMINISTIC FUZZY AUTOMATA
In this paper, we introduce and study notions like state-\linebreak distinguishability, input-distinguishability and output completeness of states of a crisp deterministic fuzzy automaton. We show that for each crisp deterministic fuzzy automaton there corresponds a unique (up to isomorphism), equivalent distinguished crisp deterministic fuzzy automaton. Finally, we introduce two axioms related...
متن کاملThe Learnability of Simple Deterministic Finite-Memory Automata
The present paper establishes the learnability of simple deterministic finitememory automata via membership and equivalence queries. Simple deterministic finite-memory automata are a subclass of deterministic finite-memory automata introduced by Kaminski and Francez [9] as a model generalizing finite-state automata to infinite alphabets. For arriving at a meaningful learning model we first prov...
متن کاملA novel algorithm for the conversion of shuffle regular expressions into non-deterministic finite automata
Regular expressions with shuffle operators are widely used in diverse fields of computer science. The work presented here investigates the shuffling of regular expressions and their conversion into non-deterministic finite automata. The aim of the paper is to design a novel algorithm for constructing -free non-deterministic finite automata from the shuffling of regular expressions. Non-determ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002